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The Quarterly Journal of Mechanics and Applied Mathematics 1997 50(3):435-456; doi:10.1093/qjmam/50.3.435
© 1997 by Oxford University Press
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NONLINEAR FRACTURE MECHANICS FOR AN ELASTIC BELL MATERIAL

ANGELO MARCELLO TARANTINO

( Istituto di Scienza e Tecnica delle Construzioni, University of Ancona via Brecce Bianche, Monte D'Ago, 60131 Ancona, Italy )

A method of analysis is proposed to perform realistic asymptotic investigations in nonlinear fracture mechanics. It is based on the use, conceptually new in this context, of constrained elasticity. More specifically, within the framework of finite elasticity, a crack analysis is formulated for a material subjected to the Bell constraint. (Such a material constraint, suggested by experimental tests requires that the sum of the principal stretches must be 3.) General far-field loading (mixed-mode loading) and conditions ensuring vanishing tractions at the crack faces are considered. By means of an asymptotic procedure, the deformation and stress fields near the crack tip are computed, showing how these cease to be singular. Further unexpected results are discussed.


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